ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 9

MCQ's Test For ECAT Mathematics Chapter 9 Permutation, Combination & Probability

Try The MCQ's Test For ECAT Mathematics Chapter 9 Permutation, Combination & Probability

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ECAT Mathematics Chapter 9 Permutation, Combination & Probability

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Question # 1

Number of ways of writing the letters of WORD taken all at a time is

Question # 2

Three integers are chosen at random from the first 20 integers. Then probability that their product is even, is

Question # 3

If for two events A and B , P(A∪B)=1,then events A and B are

Question # 4

How many different 5-digit even numbers are possible form digit 1,2,4,6,8

Question # 5

How many arrangements of the letters of the word MI SSI PPI, taken all together can be made?

Question # 6

How many arrangements of the letters of the word PAKISTAN cab be made

Question # 7

(n + 2) (n + 1) n= ______

Question # 8

If n is a negative integer n! is

Question # 9

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Question # 10

Three unbiased coins are tossed. Then the probabilities of getting two heads is

Question # 11

If n is a positive integer then n! is

Question # 12

The number of words that can be formed out of the letters of the word ASSASSINATION is

Question # 13

How many arrangements of the letter of the word PAKPATTAN can be made

Question # 14

Two coins are tossed twice each. The probability that the head appears on the first toss and the same forces appear in the two tosses is

Question # 15

The number of 5-digit number that can be formed from the digits 1,2,4,6,8, when 2 and 8 are never together is

Question # 16

0! = ______

Question # 17

A die is thrown 100 times. If getting an odd number is considered a success, the variance of the number of successes is

Question # 18

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Question # 19

Four cards are drawn at random from a pack of 52 playing cards. The probability of getting all the four cars of the same suit is

Question # 20

In a country 55% of the male population has houses in cities while 30% have houses both in cities and in villages find the percentage of the population that has houses only in villages

Question # 21

The domain of an infinite sequence is a

Question # 22

Riaz, Saba. Maria, Shehzad are to give speeches in a class. The teacher can arrange the order of their presentation in

Question # 23

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Question # 24

Probability of an impossible event is

Question # 25

Cycle tyres are supplied in lots of 10 and there is a chance if 1 in 500 tyres to be defective. Using Poisson distribution, the approximate number of lots containing no defective tyre in a consignment of 10, 0000 lots is

Question # 26

A box containing 10 mangoes out of which 4 are rotter. Two mangoes are taken together from the box. If one of them is found to be good, the probability that the other is also good is

Question # 27

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Question # 28

n(n - 1) (n - 2) in factorial form is

Question # 29

The probability to get an odd number in a dice thrown once is

Question # 30

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ECAT Mathematics Chapter 9 Important MCQ's

Sr.# Question Answer
1 An unbiased die is thrown. Then the probability of getting a prime is
A. 1/2
B. 2/3
C. 3/4
D. None of these
2 There are 25 tickets bearing number from 1 to 25. One ticket is drawn at random. The probability that the number on it is a multiple of 5 or 6 is
A. 7 / 25
B. 9 / 25
C. 11 / 25
D. None of these
3
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A. 0
B. -1
C. 1
D. 2
4 Two unbiased dice are thrown. The probability that the total score is > 5 is
A. 1 / 18
B. 7 / 18
C. 13 / 18
D. 11 / 18
5 The probability that a slip of numbers divisible by 4 is picked from the slips of number 1,2,3,4,......10 is
A. 1/5
B. 2/5
C. 1/10
D. 3/10
6 Five engineering, four mathematics, two chemistry books are placed on a table at random.The probability that the books of each kind are all together is
7 There are n seats round a table numbered 1, 2, 3 .... n. The number of ways in which m person can take seats is
A. nPm
B. nCmx (m - 1) !
C. n-1Pm
D. None of these
8 A bag contains 5 white, 7 red and 5 black balls. If four balls are drawn one by one with replacement, the probability that none is white is
A. (11/16)2
B. (5/16)2
C. (11/16)4
D. (5/16)4
9 An experiment yields 3 mutually exclusive and exhaustive events A, B, C, if P(A) =2 and P(B) = 3. then P(C) =
A. 1 / 11
B. 2 / 11
C. 3 / 11
D. 6 / 11
10 A machine operates if all of its three components function. The probability that the first component fails during the year is 0.14, the second component fails is 0.10 and the third component fails is 0.05. the probability that the machine will fail during the year is
A. 0.2647
B. 0.2692
C. 0.3647
D. None of these

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